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Gnom [1K]
1 year ago
6

The null space of a is the solution set of the equation ax = 0. a. true b. false

Mathematics
1 answer:
horrorfan [7]1 year ago
7 0

It is true that the null space of a is the solution set of the equation ax = 0.

<h3>What is the proof?</h3>

The null space of a matrix A is Nul(A)= {x : Ax=0}. In other words, if A is m × n, then its null space consists of those vectors x ∈ Rn which solve the homogeneous equation Ax= 0.

Solving Ax=0 yields an explicit description of Nul(A).

Therefore, the Option A is correct.

Read more about null space

brainly.com/question/13004889

#SPJ4

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Find the sum of the first 47 terms of the following series, to the nearest integer.
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Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

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2 years ago
The difference between a number and five equals three. Translate this sentence to an equation and then find the
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Answer:

the equation will be:

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solving the equation we get x=8

Option B is correct.

Step-by-step explanation:

We need to write equation for this sentence:

The difference between a number and five equals three.

Let number = x

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Now, solving the equation to find value of x

x-5=3

Adding 5 on both sides

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So, solving the equation we get x=8

Option B is correct.

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